The Gravitron is an amusement ride that spin riders around in a circle. Riders are located around the edge (R = 5m from the axis) and it takes 14 seconds for them to reach a speed of 7 m/s. The riders get precisely one minute of fun at this speed before a friction brake is applied to the Gravitron's 0.25m diameter axle. The Gravitron makes four complete revolutions while stopping. The Gravitron itself has a moment of inertia of I = 1.44 × 105kgm² and can hold up %3D to 45 people at a time. а. What is the total duration of the ride? Show your work. b. Assuming that the ride is at full capacity and the average mass of a person is 62kg, what is the total inertia of the system? Show your work. C. What is the frictional force applied by the break? Show your work.

The Gravitron is an amusement ride that spin riders around in a circle. Riders are located around the edge (R = 5m from the axis) and it takes 14 seconds for them to reach a speed of 7 m/s. The riders get precisely one minute of fun at this speed before a friction brake is applied to the Gravitron's 0.25m diameter axle. The Gravitron makes four complete revolutions while stopping. The Gravitron itself has a moment of inertia of I = 1.44 × 105kgm² and can hold up %3D to 45 people at a time. а. What is the total duration of the ride? Show your work. b. Assuming that the ride is at full capacity and the average mass of a person is 62kg, what is the total inertia of the system? Show your work. C. What is the frictional force applied by the break? Show your work.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m...

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